They are all 60 degrees.
always
No. It is equal to the sum of the opposite interior angles.
Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.In the triangle at the right,
An exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. This relationship is a direct consequence of the Triangle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees. Consequently, the exterior angle provides valuable information about the interior angles of the triangle. Additionally, each exterior angle is formed by extending one side of the triangle, thus creating a linear pair with the adjacent interior angle.
They are called supplementary angles.
Are two angle of a triangle that are not adjacent to the exterior angle
always
Remote interior angles
No. It is equal to the sum of the opposite interior angles.
Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.In the triangle at the right,
An exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. This relationship is a direct consequence of the Triangle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees. Consequently, the exterior angle provides valuable information about the interior angles of the triangle. Additionally, each exterior angle is formed by extending one side of the triangle, thus creating a linear pair with the adjacent interior angle.
When any side of triangle is extended outwards then exterior angle is formed. Sum of this exterior angle and adjacent interior angle = 180o. If exterior angle = 180o(straight angle) then interior adjacent angle is 0o which is not possible. So exterior angle can't be straight angle.
They are called supplementary angles.
Yes it does. Good work!
In a triangle, the two angles that do not form a linear pair with a given exterior angle are the two interior angles that are adjacent to the angle of the triangle that is extended to form the exterior angle. The exterior angle is equal to the sum of these two non-adjacent interior angles, according to the exterior angle theorem. Therefore, the two angles are not directly related to the exterior angle but contribute to the overall relationship within the triangle.
Remote interior angles are the angles that are not adjacent to a given exterior angle but are inside the triangle. For each exterior angle of a triangle, there are two remote interior angles. The sum of these remote interior angles is equal to the measure of the exterior angle. Thus, if you have a specific exterior angle, you can identify the two corresponding remote interior angles.
Interior and adjacent exterior angles form a straight line so exterior angle = 180 - interior angle. If you are satisfied with this reply please consider awarding a Recommended Point to the responder.